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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (11 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	223
4014.2.a.a	$4014$	$2$	4014.a	1.a	$1$	$1$	$1$	$32.052$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-3\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}+2q^{11}+\cdots\)
4014.2.a.d	$4014$	$2$	4014.a	1.a	$1$	$1$	$1$	$32.052$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(2\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2q^{5}-2q^{7}-q^{8}-2q^{10}+\cdots\)
4014.2.a.e	$4014$	$2$	4014.a	1.a	$1$	$1$	$1$	$32.052$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{8}-q^{11}-2q^{13}+q^{16}+\cdots\)
4014.2.a.f	$4014$	$2$	4014.a	1.a	$1$	$1$	$1$	$32.052$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(1\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots\)
4014.2.a.j	$4014$	$2$	4014.a	1.a	$1$	$2$	$2$	$32.052$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-2\beta q^{7}-q^{8}+(-5+\beta )q^{11}+\cdots\)
4014.2.a.m	$4014$	$2$	4014.a	1.a	$1$	$3$	$3$	$32.052$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(3\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1+\beta _{1})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
4014.2.a.q	$4014$	$2$	4014.a	1.a	$1$	$4$	$4$	$32.052$	4.4.10273.1	None	✓	$1$	$1$	\(4\)	\(0\)	\(-2\)	\(-5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-1+\beta _{1})q^{5}+(-1-\beta _{3})q^{7}+\cdots\)
4014.2.a.r	$4014$	$2$	4014.a	1.a	$1$	$5$	$5$	$32.052$	5.5.356173.1	None	✓	$1$	$1$	\(5\)	\(0\)	\(-5\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
4014.2.a.s	$4014$	$2$	4014.a	1.a	$1$	$6$	$6$	$32.052$	6.6.232773917.1	None	✓	$1$	$1$	\(-6\)	\(0\)	\(-6\)	\(5\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1+\beta _{1})q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
4014.2.a.t	$4014$	$2$	4014.a	1.a	$1$	$6$	$6$	$32.052$	6.6.103354048.1	None	✓	$1$	$1$	\(-6\)	\(0\)	\(-2\)	\(8\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(\beta _{4}-\beta _{5})q^{5}+(1-\beta _{4}+\cdots)q^{7}+\cdots\)
4014.2.a.y	$4014$	$2$	4014.a	1.a	$1$	$8$	$8$	$32.052$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(8\)	\(0\)	\(-6\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-1-\beta _{5}+\beta _{6})q^{5}+(-1+\cdots)q^{7}+\cdots\)